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Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate

Prikazchikova, Ludmila; Ece Aydın, Yağmur; Erbaş, Barış; Kaplunov, Julius

Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate Thumbnail


Authors

Yağmur Ece Aydın

Barış Erbaş



Abstract

Anti-plane dynamic shear of a strongly inhomogeneous dynamic laminate with traction-free faces is
analysed. Two types of contrast are considered, including those for composite structures with stiff thick or thin outer layers. In both cases, the value of the cut-off frequency corresponding to the lowest anti-symmetric vibration mode tends to zero. For this mode the shortened dispersion relations and the associated formulae for displacement and stresses are obtained. The latter motivate the choice of appropriate settings supporting the limiting forms of the original anti-plane problem. The asymptotic equation derived for a three-layered plate with thick faces is valid over the whole low-frequency range, whereas the range of validity of its counterpart for another type of contrast is restricted to a narrow vicinity of the cut-off frequency.

Citation

Prikazchikova, L., Ece Aydın, Y., Erbaş, B., & Kaplunov, J. (2018). Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate. Mathematics and Mechanics of Solids, 25(1), 3-16. https://doi.org/10.1177/1081286518790804

Journal Article Type Article
Acceptance Date Jun 13, 2018
Publication Date Aug 3, 2018
Journal Mathematics and Mechanics of Solids
Print ISSN 1081-2865
Publisher SAGE Publications
Peer Reviewed Peer Reviewed
Volume 25
Issue 1
Pages 3-16
DOI https://doi.org/10.1177/1081286518790804
Keywords asymptotic, contrast, laminate, cut-off, wave
Publisher URL https://doi.org/10.1177%2F1081286518790804

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